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Finding the Third Proportional to 5,151,205.13 and 8,154,912.94

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Solution

The third proportional to 5,151,205.13 and 8,154,912.94 is: 12,910,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151,205.13 : 8,154,912.94 = 8,154,912.94 : x
  2. Step 2: Convert to fraction form
    5,151,205.13/8,154,912.94 = 8,154,912.94/x
  3. Step 3: Cross multiply
    5,151,205.13x = 8,154,912.94 × 8,154,912.94
  4. Step 4: Simplify right side
    5,151,205.13x = 66,502,605,018,204.88
  5. Step 5: Solve for x
    x = 66,502,605,018,204.88/5,151,205.13
  6. Step 6: Final answer
    x = 12,910,106.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.